Greatest Common Factor of 7478/563, 6434/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7478/563, 6434/819

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7478/563,6434/819

Given fractions are 7478/563,6434/819

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7478,6434

Greatest Common Factor of Numerators i.e. GCF of 7478,6434 is 2 .

LCM of Denominators means LCM of 563,819 as per the given fractions.

LCM of 563,819 is 461097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7478,6434

GCF of Fractions 7478/563,6434/819 is 2/461097

2 7478, 6434
3739, 3217

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7478,6434 By Matching Biggest Common Factor Method

Greatest Common Factor of 7478,6434 By Matching Biggest Common Factor Method

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1,2,3739,7478

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

Greatest Common Factor

We found the factors 7478,6434 . The biggest common factor number is the GCF number.
So the greatest common factor 7478,6434 is 2.

Lets's calculate LCM of 563,819

Given numbers has no common factors except 1. So, there LCM is their product i.e 461097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/461097

Therefore, the GCF of Fractions 7478/563,6434/819 is 2/461097

Least Common Multiple of 563,819 with GCF Formula

Least Common Multiple of 563,819 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 563,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,819) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(563,819) x common factors =1 x 1 = 1

LCM(563,819) = ( 563 × 819 ) / 1

LCM(563,819) = 461097 / 1

LCM(563,819) = 461097


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7478/563, 6434/819

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7478/563, 6434/819?

Answer: GCF of Numerators as per given numbers 7478/563, 6434/819 is

GCF of Numerators i.e. for 7478,6434 is 2

LCM of denominators i.e. for 563,819 is 461097.

Thus, GCF of Fractions is 2/461097.Finally, GCF of Fractions for 7478/563, 6434/819 is 2/461097.